Atkin-Lehner |
2- 5+ 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
48950v |
Isogeny class |
Conductor |
48950 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
533728870400000000 = 220 · 58 · 114 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11- -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-721338,233112292] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:17654:1] |
Generators of the group modulo torsion |
j |
2656563234067925209/34158647705600 |
j-invariant |
L |
4.7116444512696 |
L(r)(E,1)/r! |
Ω |
0.2935945402481 |
Real period |
R |
0.20060167192065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9790b1 |
Quadratic twists by: 5 |